Static equilibrium, machines; handheld press

AI Thread Summary
The discussion focuses on calculating the force P applied to a handheld press when 64-N forces are exerted on the handles. Participants emphasize the importance of understanding mechanical advantage and movement ratios in the system. The movement of the cylinder DE is highlighted as a key factor in the analysis. Suggestions include drawing a larger diagram to visualize the mechanics involved and considering the relationship between the angle change and vertical movement. Overall, the conversation centers on applying static equilibrium principles to solve the problem effectively.
J-dizzal
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Homework Statement


The handheld press is useful for such tasks as squeezing rivets or punching holes. What force P is applied to the sheet metal at E for the 64-N forces applied to the handles?
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Homework Equations

The Attempt at a Solution


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Not sure how to get this one started, i initially took the moment of the top piece but that didnt solve for anything.
 
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I think you made a very good start with the first free body diagram. I think the key is to realize that the cylinder DE (shown as hidden lines) is free to move vertically independently.
 
Think about mechanical advantage and movement ratios.
If the lever is moved down a small distance dx, by how much does the angle change?
If the angle changes by a small amount ##d\theta##, how far does D move down?
(Draw yourself a larger diagram of the C/D region).
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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